Illinois public schools financial statistics and local property tax data /

Mode of access: Internet.

Local and global consistency properties for student placement

In the context of resource allocation on the basis of priorities, Ergin (2002) identifies a necessary and sufficient condition on the priority structure such that the student-optimal stable mechanism satisfies a consistency principle. Ergin (2002) formulates consistency as a local property based on a fixed population of agents and fixed resources -- we refer to this condition as local consistency and to his condition on the priority structure as local acyclicity. We identify a related but stronger necessary and sufficient condition (unit acyclicity) on the priority structure such that the student-optimal stable mechanism satisfies a more standard global consistency property. Next, we provide necessary and sufficient conditions for the student-optimal stable mechanism to satisfy converse consistency principles. We identify a necessary and sufficient condition (local shift-freeness) on the priority structure such that the student-optimal stable mechanism satisfies local converse consistency. Interestingly, local acyclicity implies local shift-freeness and hence the student-optimal stable mechanism more frequently satisfies local converse consistency than local consistency. Finally, in order for the student-optimal stable mechanism to be globally conversely consistent, one again has to impose unit acyclicity on the priority structure. Hence, unit acyclicity is a necessary and sufficient condition on the priority structure for the student-optimal stable mechanism to satisfy global consistency or global converse consistency.

Local government revenue from oil and gas production

Oil and gas production generates substantial revenue for state and local governments. This report examines revenue from oil and gas production flowing to local governments through four mechanisms: (i) state taxes or fees on oil and gas production; (ii) local property taxes on oil and gas property; (iii) leasing of state-owned land; and (iv) leasing of federally owned land. We examine every major oil- and gas-producing state and find that the share of oil and gas production value allocated to and collected by local governments ranges widely, from 0.5 percent to more than 9 percent due to numerous policy differences among states. School districts and trust funds endowing future school operations tend to see the highest share of revenue, followed by counties. Municipalities and other local governments with more limited geographic boundaries tend to receive smaller shares of oil and gas driven revenue. Some states utilize grant programs to allocate revenue to where impacts from the industry are greatest. Others send most revenue to state operating or trust funds, with little revenue earmarked specifically for local governments.

Cosmic distance duality relation and the shape of galaxy clusters

Context. Observations in the cosmological domain are heavily dependent on the validity of the cosmic distance-duality (DD) relation, eta = D(L)(z)(1+ z)(2)/D(A)(z) = 1, an exact result required by the Etherington reciprocity theorem where D(L)(z) and D(A)(z) are, respectively, the luminosity and angular diameter distances. In the limit of very small redshifts D(A)(z) = D(L)(z) and this ratio is trivially satisfied. Measurements of Sunyaev-Zeldovich effect (SZE) and X-rays combined with the DD relation have been used to determine D(A)(z) from galaxy clusters. This combination offers the possibility of testing the validity of the DD relation, as well as determining which physical processes occur in galaxy clusters via their shapes. Aims. We use WMAP (7 years) results by fixing the conventional Lambda CDM model to verify the consistence between the validity of DD relation and different assumptions about galaxy cluster geometries usually adopted in the literature. Methods. We assume that. is a function of the redshift parametrized by two different relations: eta(z) = 1+eta(0)z, and eta(z) = 1+eta(0)z/(1+z), where eta(0) is a constant parameter quantifying the possible departure from the strict validity of the DD relation. In order to determine the probability density function (PDF) of eta(0), we consider the angular diameter distances from galaxy clusters recently studied by two different groups by assuming elliptical (isothermal) and spherical (non-isothermal) beta models. The strict validity of the DD relation will occur only if the maximum value of eta(0) PDF is centered on eta(0) = 0. Results. It was found that the elliptical beta model is in good agreement with the data, showing no violation of the DD relation (PDF peaked close to eta(0) = 0 at 1 sigma), while the spherical (non-isothermal) one is only marginally compatible at 3 sigma. Conclusions. The present results derived by combining the SZE and X-ray surface brightness data from galaxy clusters with the latest WMAP results (7-years) favors the elliptical geometry for galaxy clusters. It is remarkable that a local property like the geometry of galaxy clusters might be constrained by a global argument provided by the cosmic DD relation.

Issue review : income surtaxes.

School districts can use income surtax as a replacement for local property taxes to fund specific, discretionary education programs. This issue review provides an overview of the local income surtax and the potential impact of allowing other local governments to replace property tax with income surtax.

The median function on graphs with bounded profiles

The median of a profile = (u1, . . . , uk ) of vertices of a graph G is the set of vertices x that minimize the sum of distances from x to the vertices of . It is shown that for profiles with diameter the median set can be computed within an isometric subgraph of G that contains a vertex x of and the r -ball around x, where r > 2 − 1 − 2 /| |. The median index of a graph and r -joins of graphs are introduced and it is shown that r -joins preserve the property of having a large median index. Consensus strategies are also briefly discussed on a graph with bounded profiles.

The role of UK retailing in urban regeneration

This research examines the role of retailing in urban regeneration nationally and locally in the UK. The research uses data at a national level and local shopping centre case studies to examine the employment and property impacts of retailing. Focusing on schemes built during the first part of the 1990s it shows that retail can bring employment and economic benefits to town centres, but that the impact on the inner city should not be overlooked. Valuable lessons can be learned from the experience of centres built during this period of recession, and new challenges such as eCommerce now face these centres and others being developed today. The research examines the multiplier effect of retail regeneration schemes nationally using National Accounts data, and the local property and employment impacts of shopping centre schemes in the case study towns of Aberdeen, Bristol, Norwich, Bromley, Worcester and Leicester. The report includes valuable statistical sources, a full literature and policy review and will be of interest to those involved in property investment, regeneration and planning. The research was funded by the Office of Science & Technology and the Harold Samuel Educational Trust.

Mobility, targeting and private school vouchers

This paper uses general equilibrium simulations to explore the role ofresidential mobility in shaping the impact of different types of private school voucher policies. In particular, general vouchers available to all residents in the state are compared to vouchers specifically targeted to either underprivileged school districts or underprivileged households. The simulations are derived from a three-community mo deI of low, middle and high income school districts (calibrated to New York data), where each school district is composed of multiple types of neighborhoods that may vary in house quality as well as the leveI of neighborhood extemalities. Households that differ in both their income and in the ability leveI of their children choose between school districts, between neighborhoods within their school district, and between the local public school or a menu of private school altematives.Local public school quality within a district is endogenously determined bya combination of the average peer quality of public school attending children as well as local property and state income tax supported spending. Financial support (above a required state minimum) is set by local majority rule. Finally, there exists the potential for a private school market composed of competitive schools that face production technologies similar to those ofpublic schools but who set tuition and admissions policies to maximize profits. In tbis model, it is demonstrated that school district targeted vouchers are similar in their impact to non-targeted vouchers but vastIy different from vouchers targeted to low income households. Furthermore, strong migration effects are shown to significantly improve the likely equity consequences of voucher programs.

Water Rights and Land Values in the West-Central Plains

Irrigation is vital to the economic activity of the west-central Great Plains. The crops grown, the distribution of center-pivot irrigation systems, and the basic transportation infrastructure is the same in northwest Kansas, northeast Colorado, and southwest Nebraska. But buyers of agricultural land face a different price for irrigated cropland in each of the states, even when the production characteristics of the land are similar. After accounting for factors like productivity and local property tax differences, we argue that it is the difference in water marketing rights between the three states that explains the price difference. The link between land values and water marketing rights is statistically developed by using Ordinary Least Squared (OLS) regression techniques. After adjusting for differences in property taxes, the analysis reveals that the implicit value of full water-marketing rights in the region is approximately $1,026 per acre. This valuation is within the range of estimates provided by other comparable studies across the country.

Probing the cosmic distance-duality relation with the Sunyaev-Zel'dovich effect, X-ray observations and supernovae Ia

Context. The angular diameter distances toward galaxy clusters can be determined with measurements of Sunyaev-Zel'dovich effect and X-ray surface brightness combined with the validity of the distance-duality relation, D-L(z)(1 + z)(2)/D-A(z) = 1, where D-L(z) and D-A(z) are, respectively, the luminosity and angular diameter distances. This combination enables us to probe galaxy cluster physics or even to test the validity of the distance-duality relation itself. Aims. We explore these possibilities based on two different, but complementary approaches. Firstly, in order to constrain the possible galaxy cluster morphologies, the validity of the distance-duality relation (DD relation) is assumed in the Lambda CDM framework (WMAP7). Secondly, by adopting a cosmological-model-independent test, we directly confront the angular diameters from galaxy clusters with two supernovae Ia (SNe Ia) subsamples (carefully chosen to coincide with the cluster positions). The influence of the different SNe Ia light-curve fitters in the previous analysis are also discussed. Methods. We assumed that eta is a function of the redshift parametrized by two different relations: eta(z) = 1 +eta(0)z, and eta(z) = 1 + eta(0)z/(1 + z), where eta(0) is a constant parameter quantifying the possible departure from the strict validity of the DD relation. In order to determine the probability density function (PDF) of eta(0), we considered the angular diameter distances from galaxy clusters recently studied by two different groups by assuming elliptical and spherical isothermal beta models and spherical non-isothermal beta model. The strict validity of the DD relation will occur only if the maximum value of eta(0) PDF is centered on eta(0) = 0. Results. For both approaches we find that the elliptical beta model agrees with the distance-duality relation, whereas the non-isothermal spherical description is, in the best scenario, only marginally compatible. We find that the two-light curve fitters (SALT2 and MLCS2K2) present a statistically significant conflict, and a joint analysis involving the different approaches suggests that clusters are endowed with an elliptical geometry as previously assumed. Conclusions. The statistical analysis presented here provides new evidence that the true geometry of clusters is elliptical. In principle, it is remarkable that a local property such as the geometry of galaxy clusters might be constrained by a global argument like the one provided by the cosmological distance-duality relation.

Illinois public schools financial statistics.

Mode of access: Internet.

On continuous selection problems for multivalued mappings with the local intersection property in hyperconvex metric spaces

In the paper we present two continuous selection theorems in hyperconvex metric spaces and apply these to study xed point and coincidence point problems as well as variational inequality problems in hyperconvex metric spaces.

Digest and summary of work of the sub-committee on reduction of local taxation submitted to the Property tax relief commission ...

Mode of access: Internet.